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Calculate the angular velocity with whic...

Calculate the angular velocity with which a wheel is rotating. If its instanteous power is `500W`, and an external torque of `50Nm` is applied to it.
Hint : `P=tau omega`

Text Solution

AI Generated Solution

To calculate the angular velocity (ω) of the wheel, we can use the relationship between power (P), torque (τ), and angular velocity (ω) given by the formula: \[ P = τ \cdot ω \] Where: - \( P \) is the power in watts (W) - \( τ \) is the torque in newton-meters (Nm) - \( ω \) is the angular velocity in radians per second (rad/s) ...
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Calculate the instantaneous power of a body rotating with angular velocity of 20rad//s^(-1) , when an external torque of 5 Nm is applied to it. Hint : P=tau omega .

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Knowledge Check

  • A particle is moving in a circular orbit of radius r_(1) with an angular velocity omega_(1) . It jumps to another circular orbit of radius r_(2) and attains an angular velocity omega_(2) . IF r_(2) = 0.5 r_(1) and assuming that no external torque is applied to that system, then, the angular velocity omega_(2) is given by

    A
    `omega_(2) = 4omega_(1)`
    B
    `omega_(2) = 3omega_(1)`
    C
    `omega_(2) = 2omega_(1)`
    D
    `omega_(2) = omega_(1)`

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